{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "import networkx as nx\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "%matplotlib inline"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## algorithm"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "def pagerank(graph, alpha=.9):\n",
    "    n = len(graph)\n",
    "\n",
    "    # remove links to self\n",
    "    graph[range(n), range(n)] = 0\n",
    "    \n",
    "    # ensure stochasticity\n",
    "    graph[:, graph.sum(0) == 0] = 1\n",
    "    graph /= graph.sum(0)\n",
    "    \n",
    "    # add random teleports\n",
    "    graph = alpha * graph + (1 - alpha) / n * np.ones((n, n))\n",
    "\n",
    "    # power iteration\n",
    "    prev = np.zeros(n)\n",
    "    rank = prev + 1 / n\n",
    "    while (rank - prev) @ (rank - prev) > 1e-8:\n",
    "        prev = rank\n",
    "        rank = graph @ rank\n",
    "\n",
    "    return rank"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## generate graph"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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JREgMS0Ty5WSpKyCJIEKaOK1U51+wYAFUVVURFxeHWbNm4ddffy1VPQXx+XzU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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x10c077278>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "n = 10\n",
    "\n",
    "graph = nx.DiGraph()\n",
    "graph.add_nodes_from(range(n))\n",
    "graph.add_edges_from(np.random.randint(0, n, (3 * n, 2)))\n",
    "\n",
    "nx.draw_networkx(graph, node_color='lightgreen')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## run"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "ranks = pagerank(\n",
    "    np.array(nx.adjacency_matrix(graph).todense(), dtype=np.float32)\n",
    ")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([ 0.08,  0.1 ,  0.06,  0.2 ,  0.09,  0.02,  0.08,  0.12,  0.07,  0.17])"
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "ranks.round(2)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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oWPEmGlkpKSlBbGysWMCjo6Nx//59qKmpiUX8fdKntm3byv2LpK7x2+qHsLAw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\nAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x113af2668>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "nx.draw_networkx(graph, node_color='lightgreen', node_size=ranks * 5000)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.6.0"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
